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Finding the Third Proportional to 219,300 and 455,837

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Solution

The third proportional to 219,300 and 455,837 is: 947,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,300 : 455,837 = 455,837 : x
  2. Step 2: Convert to fraction form
    219,300/455,837 = 455,837/x
  3. Step 3: Cross multiply
    219,300x = 455,837 × 455,837
  4. Step 4: Simplify right side
    219,300x = 207,787,370,569
  5. Step 5: Solve for x
    x = 207,787,370,569/219,300
  6. Step 6: Final answer
    x = 947,502.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.